LCM of 963 and 967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 963 and 967 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 931221 as output. Here you can check the answer for Find the LCM of 963 and 967.
What is LCM of 963 and 967
Given Numbers are 963, 967
We can find the LCM of 963, 967 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 963 and 967
Multiples of 963 =963,1926,2889,3852,4815,5778,6741,7704,8667,9630,10593,11556,12519,13482,14445,15408,16371,
Multiples of 967 =967,1934,2901,3868,4835,5802,6769,7736,8703,9670,10637,11604,12571,13538,14505,15472,16439,
Now, get the least common multiple of 963, 967 which is 931221
So, the LCM of 963, 967 is 931221.
Least Common Multiple (LCM) of 963 and 967 with the help of Prime Factorisation
One method for determining the LCM of 963 and 967 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:
Here is 963's prime factorization:
| 3 | 963 |
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 963 are 3,107.
963 = 32×1071
And this is 967's prime factorization:
| 967 | 967 |
| 1 |
Prime factors of 967 are 967.
967 = 9671
When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 3,107,967
.32×1071×9671 = 931221
This shows that the LCM of 963 and 967 is 931221.
How to Calculate the LCM of 963 and 967 Using Common Multiples
The first step in determining the Least Common Multiple of 963 and 967 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 963 and 967:
Lets look at the first ten multiples of these numbers, 963 and 967:
963,1926,2889,3852,4815,5778,6741,7704,8667,16371 are the first ten multiples of 963.
967,1934,2901,3868,4835,5802,6769,7736,8703,16439 are the first ten multiples of 967.
You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 963 and 967, for example, are 11556, 16371, and 15472. 931221 is the least common multiple since it is the smallest.
963 and 967 have an LCM of 931221.
Least Common Multiple of 963 and 967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 963 and 967, than apply into the LCM equation.
GCF(963,967) = 1
LCM(963,967) = ( 963 × 967) / 1
LCM(963,967) = 931221 / 1
LCM(963,967) = 931221
Related Least Common Multiples of 963
Related Least Common Multiples of 967
Frequently Asked Questions on LCM of 963 and 967
1. What is the LCM of 963 and 967?
The LCM of 963 and 967 is 931221.
2. How to find the lowest common multiple of 963 and 967?
To find the lowest common multiple of 963 and 967, we have to get the multip;es of both numbers and identify the least common multiple in them which is 931221.
3. What are the Factors of 963?
Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.
4. What are the Factors of 967?
Answer: Factors of 967 are 1, 967. There are 2 integers that are factors of 967. The greatest factor of 967 is 967.
5. How to Find the LCM of 963 and 967?Answer:
Least Common Multiple of 963 and 967 = 931221
Step 1: Find the prime factorization of 963
963 = 3 x 3 x 107
Step 2: Find the prime factorization of 967
967 = 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 931221 = 3 x 3 x 107 x 967
Step 4: Therefore, the least common multiple of 963 and 967 is 931221.